Aidan buys used bicycles, fixes them up, and sells them. His average cost to buy and fix each bicycle is $47. He also incurred a one-time cost of
$840 to purchase tools and a small shed to use as his workshop. He sells bikes for $75 each. Use this information for the exercises.


WRITE Write revenue and cost functions R(x) and C(x) for Aidan's situation, where x is the number of bicycles. How do you include the one-time
cost in C(x)?

WRITE Write a profit function P(x) such that P(x) = R(x)-C(x). In words, what does P(x) represent?


PERSEVERE List key features for the profit function P(x). Then use the key features to sketch a graph, on a separate sheet of paper, that shows
the profit P(x) as a function of x bicycles.


ANALYZE Which key feature of the graph represents Aidan's break-even point (profit = 0)? Explain how to use your graph to find the most
accurate value for this feature.